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A statistical description of turbulent diffusion flame holes

Pantano, C. and Pullin, D. I. (2003) A statistical description of turbulent diffusion flame holes. ASCI Technical Report, ASCI-TR167. . (Unpublished)

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A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker–Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.

Item Type:Report or Paper (Technical Report)
Related URLs:
URLURL TypeDescription ItemJournal Article
Pantano, C.0000-0003-3971-2278
Additional Information:This work was supported by the ASC program of the Department of Energy under Subcontract B341492 of DOE Contract W-7405-ENG-48.
Group:Accelerated Strategic Computing Initiative, GALCIT
Funding AgencyGrant Number
Department of Energy (DOE)B341492
Department of Energy (DOE)W-7405-ENG-48
Series Name:ASCI Technical Report
Issue or Number:ASCI-TR167
Record Number:CaltechAUTHORS:20230209-234936651
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119127
Deposited By: George Porter
Deposited On:11 Feb 2023 00:55
Last Modified:11 Feb 2023 00:55

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